1. **State the problem:** Kriti has 20 coins consisting of 1-rupee, 2-rupee, and 5-rupee coins totaling 41 rupees. The number of 2-rupee coins is three times the number of 5-rupee coins. We need to find the number of 1-rupee coins.
2. **Define variables:** Let the number of 5-rupee coins be $x$.
Then the number of 2-rupee coins is $3x$ (three times the 5-rupee coins).
Let the number of 1-rupee coins be $y$.
3. **Write equations:**
Total coins: $$x + 3x + y = 20$$
Simplify: $$4x + y = 20$$
Total value: $$5x + 2(3x) + 1 imes y = 41$$
Simplify: $$5x + 6x + y = 41$$
$$11x + y = 41$$
4. **Solve the system:**
From the first equation: $$y = 20 - 4x$$
Substitute into the second equation:
$$11x + (20 - 4x) = 41$$
$$11x + 20 - 4x = 41$$
$$7x + 20 = 41$$
$$7x = 21$$
$$x = 3$$
5. **Find $y$:**
$$y = 20 - 4(3) = 20 - 12 = 8$$
6. **Answer:** Kriti has **8** one-rupee coins.
Coin Count
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